SAT Math Preparation with Hard Questions

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Question 1 :

If r and s are positive, which of the following expressions is equivalent to (r^6/7s^3/7)^-1?

Answer :

Question 2 :

On Monday, Julie received 240 emails. On Tuesday, the number of emails Julie received was p% less than she received on Monday. Which expression represents the number of emails Julie received on Tuesday?

A) 240(1 – p)

B) 240(p – 1)

C) 240(1 - p/100)

D) 240(p/100 - 1)

Answer :

Question 3 :

Circle A has a radius that is 30% longer than the radius of circle B. The area of circle A is k percent greater than the area of the circle B. What is the value of k?

A) 9

B) 30

C) 36

D) 69

Answer :

Question 4 :

On Friday, a bakery produced 700 bagels per hour for the first 3 hours of operation and 300bagels per hour for the remaning 5 hours of operation. If a bagel produced by the bakery on Friday is selected at random, what is the probability the bagel was produced during the first 4 hours of operation?

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Question 5 :

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Question 6 :

It is given that 75ⁿ X 15 = 3⁶ X 5^m. Find the value of (m + n), if m and n are positive integers.

A) 5

B) 8

C) 11

D) 16

Answer :

Question 7 :

In triangles LMN and PQR, angles M and Q each have measure 54°, MN = 16 ands QR = 16. Which of the following additional piece of information is sufficient to prove that triangle LMN is congruent to triangle PQR?

A) Angles L and R each have measure 44°

B) Angles N and P each have measure 44°

C) LN = 11 and PR = 11

D) LM = 11 and PQ = 11

Answer :

Question 8 :

M(t) = 400(1.05)^t/3

The function M models the mass, in nanograms, of a particle after t years. Which of the following is the best interpretation of (1.05)^t^/3 in this context?

A) The mass of the particle increases by 5% every 4 months.

B) The mass of the particle increases by 5% every 3 years.

C) The mass of the particle increases by 5 nanograms every 4 months.

D) The mass of the particle increases by 5 nanograms every 3 years.

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Question 9 :

ax² + 30x – 9 = 0

In the given equation, a is a constant. The equation has no real solutions, if a < k. What is the greatest possible value of k?

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Question 10 :

Point B lies on line segment AC such that the length of AB is 7 more than twice the length of BC. If the length of AC is 55, what is the length of AB?

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